857463360 has 224 divisors, whose sum is σ = 2960412672. Its totient is φ = 209018880.

The previous prime is 857463349. The next prime is 857463377. The reversal of 857463360 is 63364758.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584690 + ... + 1585230.

It is an arithmetic number, because the mean of its divisors is an integer number (13216128).

Almost surely, 2^857463360 is an apocalyptic number.

857463360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480206336).

857463360 is an abundant number, since it is smaller than the sum of its proper divisors (2102949312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

857463360 is a wasteful number, since it uses less digits than its factorization.

857463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 857463360 is about 29282.4753052060. The cubic root of 857463360 is about 950.0326341513.

The spelling of 857463360 in words is "eight hundred fifty-seven million, four hundred sixty-three thousand, three hundred sixty".